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Data-driven controller design of discrete-time switched systems using virtual clock approach.

Yapeng Li1, Tao Wang1, Weiming Xiang2

  • 1School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China.

ISA Transactions
|February 8, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new data-driven controller for discrete-time switching systems, reducing conservatism. The novel method shows superior H-infinity performance over traditional controllers, especially with noise.

Keywords:
Data-driven controlH(∞) controlStabilitySwitched systemsℓ(2)gain

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Area of Science:

  • Control Systems Engineering
  • Systems Theory
  • Data-Driven Control

Background:

  • Discrete-time switching systems are crucial in modern control applications.
  • Existing controller design methods often exhibit conservativeness or limited applicability.
  • Addressing noise and state measurability is vital for robust control.

Purpose of the Study:

  • To develop a novel, less conservative data-driven controller design for discrete-time switching systems.
  • To investigate the performance of the proposed method under various noise and state measurability conditions.
  • To provide a flexible approach balancing conservatism and applicability.

Main Methods:

  • Leveraging lifting and virtual clock techniques for controller design.
  • Analyzing noise-free (measurable and unmeasurable states) and noisy scenarios.
  • Exploring a trade-off between controller conservatism and practical applicability.

Main Results:

  • The proposed method is non-conservative in noise-free scenarios under specific conditions.
  • Controllers designed with this method demonstrate significantly improved H-infinity performance in noisy environments compared to traditional gain controllers.
  • Numerical and practical examples validate the effectiveness of the presented methodologies.

Conclusions:

  • The novel data-driven approach offers a less conservative and more effective controller design for discrete-time switching systems.
  • The methodology provides enhanced robustness and performance, particularly in the presence of noise.
  • The study validates the approach through comprehensive simulations and practical examples.